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Finding the Third Proportional to 431,577 and 1,008,025

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Solution

The third proportional to 431,577 and 1,008,025 is: 2,354,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,577 : 1,008,025 = 1,008,025 : x
  2. Step 2: Convert to fraction form
    431,577/1,008,025 = 1,008,025/x
  3. Step 3: Cross multiply
    431,577x = 1,008,025 × 1,008,025
  4. Step 4: Simplify right side
    431,577x = 1,016,114,400,625
  5. Step 5: Solve for x
    x = 1,016,114,400,625/431,577
  6. Step 6: Final answer
    x = 2,354,422.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.